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Average consensus of continuous‐time multi‐agent systems with quantized communication
Author(s) -
Wu Yongjun,
Wang Long
Publication year - 2014
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3060
Subject(s) - differential inclusion , convergence (economics) , multi agent system , computer science , logarithm , network topology , state (computer science) , control theory (sociology) , property (philosophy) , consensus , mathematical optimization , strongly connected component , control (management) , topology (electrical circuits) , mathematics , algorithm , artificial intelligence , mathematical analysis , philosophy , epistemology , combinatorics , economics , economic growth , operating system
SUMMARY This paper focuses on the average consensus problem of first‐order and second‐order continuous‐time multi‐agent systems with logarithmic quantized information transmission. The balanced and strongly connected digraphs are utilized to characterize the interaction topologies between agents. Based on the state estimation, distributed state updating mechanisms are introduced for every agent such that all agents’ states achieve average consensus asymptotically. By means of differential inclusion theory, we discuss the existence and convergence property of the Krasovskii solutions to the closed‐loop system models. By designing the proper control gain parameters and quantizer accuracy, two sufficient conditions are established to guarantee the achievement of average consensus. Finally, two numerical simulations are provided to illustrate the effectiveness of theoretical results. Copyright © 2013 John Wiley & Sons, Ltd.